What is the Greatest Common Factor of 28500 and 28519?

Greatest common factor (GCF) of 28500 and 28519 is 19.

GCF(28500,28519) = 19

We will now calculate the prime factors of 28500 and 28519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28500 and 28519.

How to find the GCF of 28500 and 28519?

We will first find the prime factorization of 28500 and 28519. After we will calculate the factors of 28500 and 28519 and find the biggest common factor number .

Step-1: Prime Factorization of 28500

Prime factors of 28500 are 2, 3, 5, 19. Prime factorization of 28500 in exponential form is:

28500 = 2² × 3¹ × 5³ × 19¹

Step-2: Prime Factorization of 28519

Prime factors of 28519 are 19, 79. Prime factorization of 28519 in exponential form is:

28519 = 19² × 79¹

Step-3: Factors of 28500

List of positive integer factors of 28500 that divides 28500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 125, 150, 190, 228, 250, 285, 300, 375, 380, 475, 500, 570, 750, 950, 1140, 1425, 1500, 1900, 2375, 2850, 4750, 5700, 7125, 9500, 14250

Step-4: Factors of 28519

List of positive integer factors of 28519 that divides 28500 without a remainder.

1, 19, 79, 361, 1501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28500 and 28519. The biggest common factor number is the GCF number.
So the greatest common factor 28500 and 28519 is 19.

Also check out the Least Common Multiple of 28500 and 28519